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3433642680 = 2335132419133
BaseRepresentation
bin1100110010101001…
…0011101010111000
322212022000010021010
43030222103222320
524013003031210
61324414513520
7151042324026
oct31452235270
98768003233
103433642680
111502224626
127b9b058a0
134294a4b40
14248047716
151516a0920
hexcca93ab8

3433642680 has 128 divisors (see below), whose sum is σ = 11140557120. Its totient is φ = 841605120.

The previous prime is 3433642657. The next prime is 3433642721. The reversal of 3433642680 is 862463343.

3433642680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 371394 + ... + 380526.

Almost surely, 23433642680 is an apocalyptic number.

3433642680 is a gapful number since it is divisible by the number (30) 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 3433642680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5570278560).

3433642680 is an abundant number, since it is smaller than the sum of its proper divisors (7706914440).

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

3433642680 is a wasteful number, since it uses less digits than its factorization.

3433642680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9401 (or 9397 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 39.

The square root of 3433642680 is about 58597.2924289169. The cubic root of 3433642680 is about 1508.6379659895.

The spelling of 3433642680 in words is "three billion, four hundred thirty-three million, six hundred forty-two thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 20 24 26 30 39 40 52 60 65 78 104 120 130 156 195 241 260 312 390 482 520 723 780 964 1205 1446 1560 1928 2410 2892 3133 3615 4820 5784 6266 7230 9133 9399 9640 12532 14460 15665 18266 18798 25064 27399 28920 31330 36532 37596 45665 46995 54798 62660 73064 75192 91330 93990 109596 118729 125320 136995 182660 187980 219192 237458 273990 356187 365320 375960 474916 547980 593645 712374 949832 1095960 1187290 1424748 1780935 2201053 2374580 2849496 3561870 4402106 4749160 6603159 7123740 8804212 11005265 13206318 14247480 17608424 22010530 26412636 28613689 33015795 44021060 52825272 57227378 66031590 85841067 88042120 114454756 132063180 143068445 171682134 228909512 264126360 286136890 343364268 429205335 572273780 686728536 858410670 1144547560 1716821340 3433642680