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378640704 = 26313295231
BaseRepresentation
bin10110100100011…
…001100101000000
3222101110221101210
4112210121211000
51233413000304
6101323330120
712245251521
oct2644314500
9871427353
10378640704
11184807402
12a6980940
13605a3570
1438404848
1523394c89
hex16919940

378640704 has 112 divisors (see below), whose sum is σ = 1116299520. Its totient is φ = 112465920.

The previous prime is 378640693. The next prime is 378640723. The reversal of 378640704 is 407046873.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 69769 + ... + 74999.

It is an arithmetic number, because the mean of its divisors is an integer number (9966960).

Almost surely, 2378640704 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 378640704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (558149760).

378640704 is an abundant number, since it is smaller than the sum of its proper divisors (737658816).

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

378640704 is a wasteful number, since it uses less digits than its factorization.

378640704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5288 (or 5278 counting only the distinct ones).

The product of its (nonzero) digits is 112896, while the sum is 39.

The square root of 378640704 is about 19458.6922479390. The cubic root of 378640704 is about 723.4509639488.

The spelling of 378640704 in words is "three hundred seventy-eight million, six hundred forty thousand, seven hundred four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 29 32 39 48 52 58 64 78 87 96 104 116 156 174 192 208 232 312 348 377 416 464 624 696 754 832 928 1131 1248 1392 1508 1856 2262 2496 2784 3016 4524 5231 5568 6032 9048 10462 12064 15693 18096 20924 24128 31386 36192 41848 62772 68003 72384 83696 125544 136006 151699 167392 204009 251088 272012 303398 334784 408018 455097 502176 544024 606796 816036 910194 1004352 1088048 1213592 1632072 1820388 1972087 2176096 2427184 3264144 3640776 3944174 4352192 4854368 5916261 6528288 7281552 7888348 9708736 11832522 13056576 14563104 15776696 23665044 29126208 31553392 47330088 63106784 94660176 126213568 189320352 378640704