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4308268272 = 2437115472131
BaseRepresentation
bin1000000001100101…
…01111010011110000
3102010020202201000120
410000302233103300
532310404041042
61551301050240
7211522450620
oct40062572360
912106681016
104308268272
1119109a57a0
12a029b6980
13538755a89
142cc27a880
151a3368dec
hex100caf4f0

4308268272 has 160 divisors (see below), whose sum is σ = 13907871744. Its totient is φ = 1116460800.

The previous prime is 4308268267. The next prime is 4308268277. The reversal of 4308268272 is 2728628034.

It is an interprime number because it is at equal distance from previous prime (4308268267) and next prime (4308268277).

It is a super-2 number, since 2×43082682722 = 37122351007043731968, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4308268277) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2020647 + ... + 2022777.

Almost surely, 24308268272 is an apocalyptic number.

4308268272 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4308268272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6953935872).

4308268272 is an abundant number, since it is smaller than the sum of its proper divisors (9599603472).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

4308268272 is a wasteful number, since it uses less digits than its factorization.

4308268272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2707 (or 2701 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 42.

The square root of 4308268272 is about 65637.3999485050. The cubic root of 4308268272 is about 1627.1749366480.

The spelling of 4308268272 in words is "four billion, three hundred eight million, two hundred sixty-eight thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 11 12 14 16 21 22 24 28 33 42 44 48 56 66 77 84 88 112 132 154 168 176 231 264 308 336 462 528 547 616 924 1094 1232 1641 1848 2131 2188 3282 3696 3829 4262 4376 6017 6393 6564 7658 8524 8752 11487 12034 12786 13128 14917 15316 17048 18051 22974 23441 24068 25572 26256 29834 30632 34096 36102 42119 44751 45948 46882 48136 51144 59668 61264 70323 72204 84238 89502 91896 93764 96272 102288 119336 126357 140646 144408 164087 168476 179004 183792 187528 238672 252714 281292 288816 328174 336952 358008 375056 492261 505428 562584 656348 673904 716016 984522 1010856 1125168 1165657 1312696 1969044 2021712 2331314 2625392 3496971 3938088 4662628 6993942 7876176 8159599 9325256 12822227 13987884 16319198 18650512 24478797 25644454 27975768 32638396 38466681 48957594 51288908 55951536 65276792 76933362 89755589 97915188 102577816 130553584 153866724 179511178 195830376 205155632 269266767 307733448 359022356 391660752 538533534 615466896 718044712 1077067068 1436089424 2154134136 4308268272