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374075424 = 253261107199
BaseRepresentation
bin10110010010111…
…111000000100000
3222001220000000100
4112102333000200
51231230403144
6101041422400
712161405622
oct2622770040
9861800010
10374075424
11182179448
12a533aa00
135c665608
1437976c12
1522c92269
hex164bf020

374075424 has 144 divisors (see below), whose sum is σ = 1096804800. Its totient is φ = 120890880.

The previous prime is 374075411. The next prime is 374075459. The reversal of 374075424 is 424570473.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1879677 + ... + 1879875.

It is an arithmetic number, because the mean of its divisors is an integer number (7616700).

Almost surely, 2374075424 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 374075424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (548402400).

374075424 is an abundant number, since it is smaller than the sum of its proper divisors (722729376).

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

374075424 is a wasteful number, since it uses less digits than its factorization.

374075424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 383 (or 372 counting only the distinct ones).

The product of its (nonzero) digits is 94080, while the sum is 36.

The square root of 374075424 is about 19341.0295486047. The cubic root of 374075424 is about 720.5316443769.

The spelling of 374075424 in words is "three hundred seventy-four million, seventy-five thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 61 72 96 107 122 144 183 199 214 244 288 321 366 398 428 488 549 597 642 732 796 856 963 976 1098 1194 1284 1464 1592 1712 1791 1926 1952 2196 2388 2568 2928 3184 3424 3582 3852 4392 4776 5136 5856 6368 6527 7164 7704 8784 9552 10272 12139 13054 14328 15408 17568 19104 19581 21293 24278 26108 28656 30816 36417 39162 42586 48556 52216 57312 58743 63879 72834 78324 85172 97112 104432 109251 117486 127758 145668 156648 170344 191637 194224 208864 218502 234972 255516 291336 313296 340688 383274 388448 437004 469944 511032 582672 626592 681376 766548 874008 939888 1022064 1165344 1298873 1533096 1748016 1879776 2044128 2597746 3066192 3496032 3896619 5195492 6132384 7793238 10390984 11689857 15586476 20781968 23379714 31172952 41563936 46759428 62345904 93518856 124691808 187037712 374075424