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397418496 = 2133103157
BaseRepresentation
bin10111101100000…
…010000000000000
31000200210221200120
4113230002000000
51303214342441
6103234020240
712564000336
oct2754020000
91020727616
10397418496
11194372442
12b1117680
1364449597
143aad1b56
1524d53966
hex17b02000

397418496 has 112 divisors (see below), whose sum is σ = 1076821824. Its totient is φ = 130351104.

The previous prime is 397418467. The next prime is 397418507. The reversal of 397418496 is 694814793.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2531250 + ... + 2531406.

Almost surely, 2397418496 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 397418496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (538410912).

397418496 is an abundant number, since it is smaller than the sum of its proper divisors (679403328).

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

397418496 is a wasteful number, since it uses less digits than its factorization.

397418496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 289 (or 265 counting only the distinct ones).

The product of its digits is 1306368, while the sum is 51.

The square root of 397418496 is about 19935.3579350861. The cubic root of 397418496 is about 735.2178205820.

The spelling of 397418496 in words is "three hundred ninety-seven million, four hundred eighteen thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 103 128 157 192 206 256 309 314 384 412 471 512 618 628 768 824 942 1024 1236 1256 1536 1648 1884 2048 2472 2512 3072 3296 3768 4096 4944 5024 6144 6592 7536 8192 9888 10048 12288 13184 15072 16171 19776 20096 24576 26368 30144 32342 39552 40192 48513 52736 60288 64684 79104 80384 97026 105472 120576 129368 158208 160768 194052 210944 241152 258736 316416 321536 388104 421888 482304 517472 632832 643072 776208 843776 964608 1034944 1265664 1286144 1552416 1929216 2069888 2531328 3104832 3858432 4139776 6209664 8279552 12419328 16559104 24838656 33118208 49677312 66236416 99354624 132472832 198709248 397418496