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1354613152 = 2523103107167
BaseRepresentation
bin101000010111101…
…1100000110100000
310111101221110220111
41100233130012200
510233240110102
6342230021104
745366010324
oct12057340640
93441843814
101354613152
11635709a02
123197a7794
1318784a059
14cbc99984
157ddcbcd7
hex50bdc1a0

1354613152 has 96 divisors (see below), whose sum is σ = 2853107712. Its totient is φ = 631766784.

The previous prime is 1354613149. The next prime is 1354613191. The reversal of 1354613152 is 2513164531.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8111373 + ... + 8111539.

It is an arithmetic number, because the mean of its divisors is an integer number (29719872).

Almost surely, 21354613152 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 1354613152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1426553856).

1354613152 is an abundant number, since it is smaller than the sum of its proper divisors (1498494560).

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

1354613152 is a wasteful number, since it uses less digits than its factorization.

1354613152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 410 (or 402 counting only the distinct ones).

The product of its digits is 10800, while the sum is 31.

The square root of 1354613152 is about 36805.0696507967. The cubic root of 1354613152 is about 1106.4669070582.

Adding to 1354613152 its reverse (2513164531), we get a palindrome (3867777683).

The spelling of 1354613152 in words is "one billion, three hundred fifty-four million, six hundred thirteen thousand, one hundred fifty-two".

Divisors: 1 2 4 8 16 23 32 46 92 103 107 167 184 206 214 334 368 412 428 668 736 824 856 1336 1648 1712 2369 2461 2672 3296 3424 3841 4738 4922 5344 7682 9476 9844 11021 15364 17201 17869 18952 19688 22042 30728 34402 35738 37904 39376 44084 61456 68804 71476 75808 78752 88168 122912 137608 142952 176336 253483 275216 285904 352672 395623 410987 506966 550432 571808 791246 821974 1013932 1582492 1643948 1840507 2027864 3164984 3287896 3681014 4055728 6329968 6575792 7362028 8111456 12659936 13151584 14724056 29448112 42331661 58896224 84663322 169326644 338653288 677306576 1354613152