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374404992 = 27313179419
BaseRepresentation
bin10110010100001…
…111011110000000
3222002111202002120
4112110033132000
51231321424432
6101052444240
712164250513
oct2624173600
9862452076
10374404992
11182384015
12a5479680
135c74c620
1437a20d7a
1522d09c2c
hex1650f780

374404992 has 128 divisors (see below), whose sum is σ = 1079568000. Its totient is φ = 114284544.

The previous prime is 374404981. The next prime is 374404997. The reversal of 374404992 is 299404473.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (374404997) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 893359 + ... + 893777.

It is an arithmetic number, because the mean of its divisors is an integer number (8434125).

Almost surely, 2374404992 is an apocalyptic number.

374404992 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 374404992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (539784000).

374404992 is an abundant number, since it is smaller than the sum of its proper divisors (705163008).

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

374404992 is a wasteful number, since it uses less digits than its factorization.

374404992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 628 (or 616 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 42.

The square root of 374404992 is about 19349.5475916105. The cubic root of 374404992 is about 720.7431832404.

The spelling of 374404992 in words is "three hundred seventy-four million, four hundred four thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 128 156 179 192 208 312 358 384 416 419 537 624 716 832 838 1074 1248 1257 1432 1664 1676 2148 2327 2496 2514 2864 3352 4296 4654 4992 5028 5447 5728 6704 6981 8592 9308 10056 10894 11456 13408 13962 16341 17184 18616 20112 21788 22912 26816 27924 32682 34368 37232 40224 43576 53632 55848 65364 68736 74464 75001 80448 87152 111696 130728 148928 150002 160896 174304 223392 225003 261456 297856 300004 348608 446784 450006 522912 600008 697216 893568 900012 975013 1045824 1200016 1800024 1950026 2091648 2400032 2925039 3600048 3900052 4800064 5850078 7200096 7800104 9600128 11700156 14400192 15600208 23400312 28800384 31200416 46800624 62400832 93601248 124801664 187202496 374404992