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3124012032 = 21032615557
BaseRepresentation
bin1011101000110100…
…1010010000000000
322001201101020212100
42322031022100000
522344221341112
61233554230400
7140262443541
oct27215122000
98051336770
103124012032
111363472529
12732285400
133aa2b463b
14218c884c8
151343dd2dc
hexba34a400

3124012032 has 132 divisors (see below), whose sum is σ = 9170044156. Its totient is φ = 1024081920.

The previous prime is 3124011991. The next prime is 3124012043. The reversal of 3124012032 is 2302104213.

It can be written as a sum of positive squares in 2 ways, for example, as 1467196416 + 1656815616 = 38304^2 + 40704^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 3124011996 and 3124012014.

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 11 ways as a sum of consecutive naturals, for example, 559398 + ... + 564954.

Almost surely, 23124012032 is an apocalyptic number.

3124012032 is a gapful number since it is divisible by the number (32) 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 3124012032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4585022078).

3124012032 is an abundant number, since it is smaller than the sum of its proper divisors (6046032124).

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

3124012032 is a wasteful number, since it uses less digits than its factorization.

3124012032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5644 (or 5623 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 3124012032 is about 55892.8620845274. The cubic root of 3124012032 is about 1461.8547816160.

Adding to 3124012032 its reverse (2302104213), we get a palindrome (5426116245).

The spelling of 3124012032 in words is "three billion, one hundred twenty-four million, twelve thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 61 64 72 96 122 128 144 183 192 244 256 288 366 384 488 512 549 576 732 768 976 1024 1098 1152 1464 1536 1952 2196 2304 2928 3072 3904 4392 4608 5557 5856 7808 8784 9216 11114 11712 15616 16671 17568 22228 23424 31232 33342 35136 44456 46848 50013 62464 66684 70272 88912 93696 100026 133368 140544 177824 187392 200052 266736 281088 338977 355648 400104 533472 562176 677954 711296 800208 1016931 1066944 1355908 1422592 1600416 2033862 2133888 2711816 2845184 3050793 3200832 4067724 4267776 5423632 5690368 6101586 6401664 8135448 8535552 10847264 12203172 12803328 16270896 17071104 21694528 24406344 25606656 32541792 43389056 48812688 51213312 65083584 86778112 97625376 130167168 173556224 195250752 260334336 347112448 390501504 520668672 781003008 1041337344 1562006016 3124012032