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314070504 = 23311237279
BaseRepresentation
bin10010101110000…
…101010111101000
3210212222102201220
4102232011113220
51120400224004
651055342040
710532361306
oct2256052750
9725872656
10314070504
11151314900
1289221920
13500b6347
142d9d7276
151c88cdd9
hex12b855e8

314070504 has 144 divisors (see below), whose sum is σ = 898228800. Its totient is φ = 91428480.

The previous prime is 314070481. The next prime is 314070521. The reversal of 314070504 is 405070413.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3975537 + ... + 3975615.

It is an arithmetic number, because the mean of its divisors is an integer number (6237700).

Almost surely, 2314070504 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 314070504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (449114400).

314070504 is an abundant number, since it is smaller than the sum of its proper divisors (584158296).

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

314070504 is a wasteful number, since it uses less digits than its factorization.

314070504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 184 (or 132 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 24.

The square root of 314070504 is about 17722.0344204609. The cubic root of 314070504 is about 679.7393060673.

Subtracting 314070504 from its reverse (405070413), we obtain a palindrome (90999909).

The spelling of 314070504 in words is "three hundred fourteen million, seventy thousand, five hundred four".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 37 44 66 74 79 88 111 121 132 148 158 222 237 242 264 296 316 363 407 444 474 484 632 726 814 869 888 948 968 1221 1369 1452 1628 1738 1896 2442 2607 2738 2904 2923 3256 3476 4107 4477 4884 5214 5476 5846 6952 8214 8769 8954 9559 9768 10428 10952 11692 13431 15059 16428 17538 17908 19118 20856 23384 26862 28677 30118 32153 32856 35076 35816 38236 45177 53724 57354 60236 64306 70152 76472 90354 96459 107448 108151 114708 120472 128612 165649 180708 192918 216302 229416 257224 324453 331298 353683 361416 385836 432604 496947 648906 662596 707366 771672 865208 993894 1061049 1189661 1297812 1325192 1414732 1987788 2122098 2379322 2595624 2829464 3568983 3975576 4244196 4758644 7137966 8488392 9517288 13086271 14275932 26172542 28551864 39258813 52345084 78517626 104690168 157035252 314070504