Search a number
-
+
3414033012 = 22313197116223
BaseRepresentation
bin1100101101111110…
…0000001001110100
322210221002211212010
43023133200021310
523442443024022
61322434324220
7150413542005
oct31337401164
98727084763
103414033012
1114a2150595
127b3429670
134253ca2a0
142455c11ac
1514eaca50c
hexcb7e0274

3414033012 has 96 divisors (see below), whose sum is σ = 9158123520. Its totient is φ = 981106560.

The previous prime is 3414032959. The next prime is 3414033017. The reversal of 3414033012 is 2103304143.

3414033012 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 3414033012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3414033017) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 202333 + ... + 218555.

It is an arithmetic number, because the mean of its divisors is an integer number (95397120).

Almost surely, 23414033012 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 3414033012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4579061760).

3414033012 is an abundant number, since it is smaller than the sum of its proper divisors (5744090508).

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

3414033012 is a wasteful number, since it uses less digits than its factorization.

3414033012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16333 (or 16331 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

The square root of 3414033012 is about 58429.7271258389. The cubic root of 3414033012 is about 1505.7605177488.

Adding to 3414033012 its reverse (2103304143), we get a palindrome (5517337155).

The spelling of 3414033012 in words is "three billion, four hundred fourteen million, thirty-three thousand, twelve".

Divisors: 1 2 3 4 6 12 13 19 26 38 39 52 57 71 76 78 114 142 156 213 228 247 284 426 494 741 852 923 988 1349 1482 1846 2698 2769 2964 3692 4047 5396 5538 8094 11076 16188 16223 17537 32446 35074 48669 52611 64892 70148 97338 105222 194676 210444 210899 308237 421798 616474 632697 843596 924711 1151833 1232948 1265394 1849422 2303666 2530788 3455499 3698844 4007081 4607332 6910998 8014162 12021243 13821996 14973829 16028324 21884827 24042486 29947658 43769654 44921487 48084972 59895316 65654481 87539308 89842974 131308962 179685948 262617924 284502751 569005502 853508253 1138011004 1707016506 3414033012