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374234324376 = 233112431298999
BaseRepresentation
bin1010111001000100001…
…10101001110110011000
31022202222000220102200110
411130202012221312120
522112412441340001
6443530524204320
736015606162123
oct5344206516630
91282860812613
10374234324376
11134791579a00
12606423996a0
13293a05ac333
14141822673ba
159b048ce3d6
hex57221a9d98

374234324376 has 96 divisors (see below), whose sum is σ = 1030760640000. Its totient is φ = 113140843200.

The previous prime is 374234324371. The next prime is 374234324383. The reversal of 374234324376 is 673423432473.

It is a happy number.

It is a super-2 number, since 2×3742343243762 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (374234324371) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1102125 + ... + 1401123.

It is an arithmetic number, because the mean of its divisors is an integer number (10737090000).

Almost surely, 2374234324376 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 374234324376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (515380320000).

374234324376 is an abundant number, since it is smaller than the sum of its proper divisors (656526315624).

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

374234324376 is a wasteful number, since it uses less digits than its factorization.

374234324376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 299461 (or 299446 counting only the distinct ones).

The product of its digits is 6096384, while the sum is 48.

The spelling of 374234324376 in words is "three hundred seventy-four billion, two hundred thirty-four million, three hundred twenty-four thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 121 132 242 264 363 431 484 726 862 968 1293 1452 1724 2586 2904 3448 4741 5172 9482 10344 14223 18964 28446 37928 52151 56892 104302 113784 156453 208604 298999 312906 417208 597998 625812 896997 1195996 1251624 1793994 2391992 3288989 3587988 6577978 7175976 9866967 13155956 19733934 26311912 36178879 39467868 72357758 78935736 108536637 128868569 144715516 217073274 257737138 289431032 386605707 434146548 515474276 773211414 868293096 1030948552 1417554259 1546422828 2835108518 3092845656 4252662777 5670217036 8505325554 11340434072 15593096849 17010651108 31186193698 34021302216 46779290547 62372387396 93558581094 124744774792 187117162188 374234324376