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4324149440 = 265132833673
BaseRepresentation
bin1000000011011110…
…10100100011000000
3102011100122112212222
410001233110203000
532323440240230
61553025310212
7212104443452
oct40157244300
912140575788
104324149440
111919962526
12a08195368
1353bb26510
142d04122d2
151a49546e5
hex101bd48c0

4324149440 has 112 divisors (see below), whose sum is σ = 11131161888. Its totient is φ = 1590534144.

The previous prime is 4324149407. The next prime is 4324149449. The reversal of 4324149440 is 449414234.

It is a self number, because there is not a number n which added to its sum of digits gives 4324149440.

It is not an unprimeable number, because it can be changed into a prime (4324149449) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1175444 + ... + 1179116.

It is an arithmetic number, because the mean of its divisors is an integer number (99385374).

Almost surely, 24324149440 is an apocalyptic number.

4324149440 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 4324149440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5565580944).

4324149440 is an abundant number, since it is smaller than the sum of its proper divisors (6807012448).

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

4324149440 is a wasteful number, since it uses less digits than its factorization.

4324149440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3986 (or 3976 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 35.

The square root of 4324149440 is about 65758.2651839295. The cubic root of 4324149440 is about 1629.1718527695.

The spelling of 4324149440 in words is "four billion, three hundred twenty-four million, one hundred forty-nine thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 64 65 80 104 130 160 208 260 283 320 416 520 566 832 1040 1132 1415 2080 2264 2830 3673 3679 4160 4528 5660 7346 7358 9056 11320 14692 14716 18112 18365 18395 22640 29384 29432 36730 36790 45280 47749 58768 58864 73460 73580 90560 95498 117536 117728 146920 147160 190996 235072 235456 238745 293840 294320 381992 477490 587680 588640 763984 954980 1039459 1175360 1177280 1527968 1909960 2078918 3055936 3819920 4157836 5197295 7639840 8315672 10394590 13512967 15279680 16631344 20789180 27025934 33262688 41578360 54051868 66525376 67564835 83156720 108103736 135129670 166313440 216207472 270259340 332626880 432414944 540518680 864829888 1081037360 2162074720 4324149440