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1370034414 = 232722921847
BaseRepresentation
bin101000110101001…
…0001000011101110
310112110221221220100
41101222101003232
510301212100124
6343540331530
745644046300
oct12152210356
93473857810
101370034414
11643392151
123229a3ba6
1318aab9368
14cdd51970
15804261c9
hex51a910ee

1370034414 has 108 divisors (see below), whose sum is σ = 3578158584. Its totient is φ = 377735904.

The previous prime is 1370034401. The next prime is 1370034427. The reversal of 1370034414 is 4144300731.

It is an interprime number because it is at equal distance from previous prime (1370034401) and next prime (1370034427).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 740839 + ... + 742685.

It is an arithmetic number, because the mean of its divisors is an integer number (33131098).

Almost surely, 21370034414 is an apocalyptic number.

1370034414 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 1370034414, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1789079292).

1370034414 is an abundant number, since it is smaller than the sum of its proper divisors (2208124170).

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

1370034414 is a wasteful number, since it uses less digits than its factorization.

1370034414 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1927 (or 1888 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 1370034414 is about 37013.9759280194. The cubic root of 1370034414 is about 1110.6498410542.

The spelling of 1370034414 in words is "one billion, three hundred seventy million, thirty-four thousand, four hundred fourteen".

Divisors: 1 2 3 6 7 9 14 18 21 29 42 49 58 63 87 98 126 147 174 203 261 294 406 441 522 609 841 882 1218 1421 1682 1827 1847 2523 2842 3654 3694 4263 5046 5541 5887 7569 8526 11082 11774 12789 12929 15138 16623 17661 25578 25858 33246 35322 38787 41209 52983 53563 77574 82418 90503 105966 107126 116361 123627 160689 181006 232722 247254 271509 321378 370881 374941 482067 543018 741762 749882 814527 964134 1124823 1553327 1629054 2249646 2624587 3106654 3374469 4659981 5249174 6748938 7873761 9319962 10873289 13979943 15747522 21746578 23621283 27959886 32619867 47242566 65239734 76113023 97859601 152226046 195719202 228339069 456678138 685017207 1370034414