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4331402240 = 21051176907
BaseRepresentation
bin1000000100010101…
…11111010000000000
3102011212022000212012
410002022333100000
532332314332430
61553444552052
7212223211604
oct40212772000
912155260765
104331402240
111922a66680
12a0a6b2628
13540495809
142d137d504
151a53d8695
hex1022bf400

4331402240 has 88 divisors (see below), whose sum is σ = 11335008672. Its totient is φ = 1575034880.

The previous prime is 4331402191. The next prime is 4331402261. The reversal of 4331402240 is 422041334.

It is a tau number, because it is divible by the number of its divisors (88).

It is a super-2 number, since 2×43314022402 = 37522090729354035200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 17867 + ... + 94773.

Almost surely, 24331402240 is an apocalyptic number.

4331402240 is a gapful number since it is divisible by the number (40) 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 4331402240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5667504336).

4331402240 is an abundant number, since it is smaller than the sum of its proper divisors (7003606432).

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

4331402240 is a wasteful number, since it uses less digits than its factorization.

4331402240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76943 (or 76925 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 23.

The square root of 4331402240 is about 65813.3895191548. The cubic root of 4331402240 is about 1630.0822019342.

Adding to 4331402240 its reverse (422041334), we get a palindrome (4753443574).

The spelling of 4331402240 in words is "four billion, three hundred thirty-one million, four hundred two thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 64 80 88 110 128 160 176 220 256 320 352 440 512 640 704 880 1024 1280 1408 1760 2560 2816 3520 5120 5632 7040 11264 14080 28160 56320 76907 153814 307628 384535 615256 769070 845977 1230512 1538140 1691954 2461024 3076280 3383908 4229885 4922048 6152560 6767816 8459770 9844096 12305120 13535632 16919540 19688192 24610240 27071264 33839080 39376384 49220480 54142528 67678160 78752768 98440960 108285056 135356320 196881920 216570112 270712640 393763840 433140224 541425280 866280448 1082850560 2165701120 4331402240