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1341913600 = 2952412557
BaseRepresentation
bin100111111111011…
…1111101000000000
310110112001021101201
41033332333220000
510222012213400
6341053510544
745153035356
oct11776775000
93415037351
101341913600
11629525605
123154a2454
13185021821
14ca3117d6
157cc1e06a
hex4ffbfa00

1341913600 has 120 divisors (see below), whose sum is σ = 3407117868. Its totient is φ = 523468800.

The previous prime is 1341913597. The next prime is 1341913613. The reversal of 1341913600 is 63191431.

It can be written as a sum of positive squares in 6 ways, for example, as 137545984 + 1204367616 = 11728^2 + 34704^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 523522 + ... + 526078.

Almost surely, 21341913600 is an apocalyptic number.

1341913600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1341913600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1703558934).

1341913600 is an abundant number, since it is smaller than the sum of its proper divisors (2065204268).

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

1341913600 is an equidigital number, since it uses as much as digits as its factorization.

1341913600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2626 (or 2605 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 28.

The square root of 1341913600 is about 36632.1388946919. The cubic root of 1341913600 is about 1102.9983212877.

The spelling of 1341913600 in words is "one billion, three hundred forty-one million, nine hundred thirteen thousand, six hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 41 50 64 80 82 100 128 160 164 200 205 256 320 328 400 410 512 640 656 800 820 1025 1280 1312 1600 1640 2050 2557 2560 2624 3200 3280 4100 5114 5248 6400 6560 8200 10228 10496 12785 12800 13120 16400 20456 20992 25570 26240 32800 40912 51140 52480 63925 65600 81824 102280 104837 104960 127850 131200 163648 204560 209674 255700 262400 327296 409120 419348 511400 524185 524800 654592 818240 838696 1022800 1048370 1309184 1636480 1677392 2045600 2096740 2620925 3272960 3354784 4091200 4193480 5241850 6545920 6709568 8182400 8386960 10483700 13419136 16364800 16773920 20967400 26838272 32729600 33547840 41934800 53676544 67095680 83869600 134191360 167739200 268382720 335478400 670956800 1341913600