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3414205332 = 2232438326573
BaseRepresentation
bin1100101110000000…
…1010001110010100
322210221102121020100
43023200022032110
523443014032312
61322442134100
7150415160256
oct31340121624
98727377210
103414205332
1114a2258aaa
127b34b1330
1342545a855
14245627cd6
1514eb115dc
hexcb80a394

3414205332 has 72 divisors (see below), whose sum is σ = 8937792864. Its totient is φ = 1098167616.

The previous prime is 3414205309. The next prime is 3414205369. The reversal of 3414205332 is 2335024143.

It is a junction number, because it is equal to n+sod(n) for n = 3414205296 and 3414205305.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 115198 + ... + 141770.

It is an arithmetic number, because the mean of its divisors is an integer number (124136012).

Almost surely, 23414205332 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 3414205332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4468896432).

3414205332 is an abundant number, since it is smaller than the sum of its proper divisors (5523587532).

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

3414205332 is a wasteful number, since it uses less digits than its factorization.

3414205332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26709 (or 26704 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 27.

The square root of 3414205332 is about 58431.2016990922. The cubic root of 3414205332 is about 1505.7858512557.

Adding to 3414205332 its reverse (2335024143), we get a palindrome (5749229475).

The spelling of 3414205332 in words is "three billion, four hundred fourteen million, two hundred five thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 36 43 83 86 129 166 172 249 258 332 387 498 516 747 774 996 1494 1548 2988 3569 7138 10707 14276 21414 26573 32121 42828 53146 64242 79719 106292 128484 159438 239157 318876 478314 956628 1142639 2205559 2285278 3427917 4411118 4570556 6616677 6855834 8822236 10283751 13233354 13711668 19850031 20567502 26466708 39700062 41135004 79400124 94839037 189678074 284517111 379356148 569034222 853551333 1138068444 1707102666 3414205332