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4370940672 = 28374671741
BaseRepresentation
bin1000001001000011…
…10100001100000000
3102021121200210101120
410010201310030000
532422430100142
62001420232240
7213213245160
oct40441641400
912247623346
104370940672
11194331146a
12a1b99b680
1354872a237
142d67125a0
151a8ae87ec
hex104874300

4370940672 has 144 divisors (see below), whose sum is σ = 13331066112. Its totient is φ = 1245450240.

The previous prime is 4370940659. The next prime is 4370940701. The reversal of 4370940672 is 2760490734.

It is a super-3 number, since 3×43709406723 (a number of 30 digits) contains 333 as substring.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2509722 + ... + 2511462.

It is an arithmetic number, because the mean of its divisors is an integer number (92576848).

Almost surely, 24370940672 is an apocalyptic number.

4370940672 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 4370940672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6665533056).

4370940672 is an abundant number, since it is smaller than the sum of its proper divisors (8960125440).

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

4370940672 is a wasteful number, since it uses less digits than its factorization.

4370940672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2234 (or 2220 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 42.

The square root of 4370940672 is about 66113.0900200558. The cubic root of 4370940672 is about 1635.0271573826.

The spelling of 4370940672 in words is "four billion, three hundred seventy million, nine hundred forty thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 168 192 224 256 336 384 448 467 672 768 896 934 1344 1401 1741 1792 1868 2688 2802 3269 3482 3736 5223 5376 5604 6538 6964 7472 9807 10446 11208 12187 13076 13928 14944 19614 20892 22416 24374 26152 27856 29888 36561 39228 41784 44832 48748 52304 55712 59776 73122 78456 83568 89664 97496 104608 111424 119552 146244 156912 167136 179328 194992 209216 222848 292488 313824 334272 358656 389984 418432 445696 584976 627648 668544 779968 813047 836864 1169952 1255296 1337088 1559936 1626094 2339904 2439141 2510592 3119872 3252188 4679808 4878282 5691329 6504376 9359616 9756564 11382658 13008752 17073987 19513128 22765316 26017504 34147974 39026256 45530632 52035008 68295948 78052512 91061264 104070016 136591896 156105024 182122528 208140032 273183792 312210048 364245056 546367584 624420096 728490112 1092735168 1456980224 2185470336 4370940672