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1320411834 = 23376475399
BaseRepresentation
bin100111010110011…
…1110001010111010
310102000120212112000
41032230332022322
510201011134314
6335005001430
744502213120
oct11654761272
93360525460
101320411834
11618379a55
1230a253276
131807339a1
14c7515910
157adc3209
hex4eb3e2ba

1320411834 has 64 divisors (see below), whose sum is σ = 3359232000. Its totient is φ = 376607664.

The previous prime is 1320411823. The next prime is 1320411863. The reversal of 1320411834 is 4381140231.

It is a super-2 number, since 2×13204118342 = 3486974822734487112, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 1320411798 and 1320411807.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 241867 + ... + 247265.

It is an arithmetic number, because the mean of its divisors is an integer number (52488000).

Almost surely, 21320411834 is an apocalyptic number.

1320411834 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1320411834, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1679616000).

1320411834 is an abundant number, since it is smaller than the sum of its proper divisors (2038820166).

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

1320411834 is a wasteful number, since it uses less digits than its factorization.

1320411834 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6064 (or 6058 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 1320411834 is about 36337.4714860569. The cubic root of 1320411834 is about 1097.0753809384.

The spelling of 1320411834 in words is "one billion, three hundred twenty million, four hundred eleven thousand, eight hundred thirty-four".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 126 189 378 647 1294 1941 3882 4529 5399 5823 9058 10798 11646 13587 16197 17469 27174 32394 34938 37793 40761 48591 75586 81522 97182 113379 122283 145773 226758 244566 291546 340137 680274 1020411 2040822 3493153 6986306 10479459 20958918 24452071 31438377 48904142 62876754 73356213 94315131 146712426 188630262 220068639 440137278 660205917 1320411834