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314898948 = 22337131792
BaseRepresentation
bin10010110001001…
…111101000000100
3210221112112011000
4102301033220010
51121103231243
651125213300
710542411510
oct2261175004
9727475130
10314898948
11151830271
1289561230
1350316450
142db71140
151c9a35d3
hex12c4fa04

314898948 has 144 divisors (see below), whose sum is σ = 1010450560. Its totient is φ = 82586304.

The previous prime is 314898937. The next prime is 314898949. The reversal of 314898948 is 849898413.

It is a super-2 number, since 2×3148989482 = 198322694903013408, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 314898894 and 314898903.

It is not an unprimeable number, because it can be changed into a prime (314898949) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1759123 + ... + 1759301.

Almost surely, 2314898948 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 314898948, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (505225280).

314898948 is an abundant number, since it is smaller than the sum of its proper divisors (695551612).

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

314898948 is a wasteful number, since it uses less digits than its factorization.

314898948 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 391 (or 204 counting only the distinct ones).

The product of its digits is 1990656, while the sum is 54.

The square root of 314898948 is about 17745.3923033558. The cubic root of 314898948 is about 680.3364453886.

It can be divided in two parts, 31489894 and 8, that multiplied together give a palindrome (251919152).

The spelling of 314898948 in words is "three hundred fourteen million, eight hundred ninety-eight thousand, nine hundred forty-eight".

Divisors: 1 2 3 4 6 7 9 12 13 14 18 21 26 27 28 36 39 42 52 54 63 78 84 91 108 117 126 156 179 182 189 234 252 273 351 358 364 378 468 537 546 702 716 756 819 1074 1092 1253 1404 1611 1638 2148 2327 2457 2506 3222 3276 3759 4654 4833 4914 5012 6444 6981 7518 9308 9666 9828 11277 13962 15036 16289 19332 20943 22554 27924 32041 32578 33831 41886 45108 48867 62829 64082 65156 67662 83772 96123 97734 125658 128164 135324 146601 192246 195468 224287 251316 288369 293202 384492 416533 439803 448574 576738 586404 672861 833066 865107 879606 897148 1153476 1249599 1345722 1666132 1730214 1759212 2018583 2499198 2691444 2915731 3460428 3748797 4037166 4998396 5831462 6055749 7497594 8074332 8747193 11246391 11662924 12111498 14995188 17494386 22492782 24222996 26241579 34988772 44985564 52483158 78724737 104966316 157449474 314898948