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34393002 = 23721947131
BaseRepresentation
bin1000001100110…
…0101110101010
32101201100022220
42003030232222
532301034002
63225054510
7565223100
oct203145652
971640286
1034393002
1118460a76
12b627436
1371826b7
1447d3c70
1530457bc
hex20ccbaa

34393002 has 96 divisors (see below), whose sum is σ = 86676480. Its totient is φ = 9041760.

The previous prime is 34392979. The next prime is 34393013. The reversal of 34393002 is 20039343.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 262477 + ... + 262607.

It is an arithmetic number, because the mean of its divisors is an integer number (902880).

Almost surely, 234393002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34393002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43338240).

34393002 is an abundant number, since it is smaller than the sum of its proper divisors (52283478).

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

34393002 is a wasteful number, since it uses less digits than its factorization.

34393002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 216 (or 209 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 24.

The square root of 34393002 is about 5864.5547145542. The cubic root of 34393002 is about 325.2046111947.

It can be divided in two parts, 3439 and 3002, that added together give a triangular number (6441 = T113).

The spelling of 34393002 in words is "thirty-four million, three hundred ninety-three thousand, two".

Divisors: 1 2 3 6 7 14 19 21 38 42 47 49 57 94 98 114 131 133 141 147 262 266 282 294 329 393 399 658 786 798 893 917 931 987 1786 1834 1862 1974 2303 2489 2679 2751 2793 4606 4978 5358 5502 5586 6157 6251 6419 6909 7467 12314 12502 12838 13818 14934 17423 18471 18753 19257 34846 36942 37506 38514 43099 43757 52269 86198 87514 104538 116983 121961 129297 131271 233966 243922 258594 262542 301693 350949 365883 603386 701898 731766 818881 905079 1637762 1810158 2456643 4913286 5732167 11464334 17196501 34393002