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1034003400378 = 2313174799111787
BaseRepresentation
bin11110000101111110110…
…01111100011010111010
310122211221110211010202020
433002333121330122322
5113420114332303003
62111003053215310
7134463365613054
oct17027731743272
93584843733666
101034003400378
11369577a65983
12148491791536
1376676ba2cb0
143809044c8d4
151bd6ba87d53
hexf0bf67c6ba

1034003400378 has 128 divisors (see below), whose sum is σ = 2366929797120. Its totient is φ = 298319723520.

The previous prime is 1034003400377. The next prime is 1034003400383. The reversal of 1034003400378 is 8730043004301.

It is not an unprimeable number, because it can be changed into a prime (1034003400377) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 578624401 + ... + 578626187.

It is an arithmetic number, because the mean of its divisors is an integer number (18491639040).

Almost surely, 21034003400378 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1034003400378, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1183464898560).

1034003400378 is an abundant number, since it is smaller than the sum of its proper divisors (1332926396742).

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

1034003400378 is a wasteful number, since it uses less digits than its factorization.

1034003400378 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3212.

The product of its (nonzero) digits is 24192, while the sum is 33.

Adding to 1034003400378 its reverse (8730043004301), we get a palindrome (9764046404679).

The spelling of 1034003400378 in words is "one trillion, thirty-four billion, three million, four hundred thousand, three hundred seventy-eight".

Divisors: 1 2 3 6 13 17 26 34 39 51 78 102 221 442 479 663 911 958 1326 1437 1787 1822 2733 2874 3574 5361 5466 6227 8143 10722 11843 12454 15487 16286 18681 23231 23686 24429 30379 30974 35529 37362 46461 46462 48858 60758 69693 71058 91137 92922 105859 139386 182274 201331 211718 317577 394927 402662 436369 603993 635154 789854 855973 872738 1184781 1207986 1309107 1627957 1711946 2369562 2567919 2618214 3255914 4883871 5135838 5672797 7418273 9767742 11127649 11345594 14551541 14836546 17018391 21163441 22254819 22255298 27675269 29103082 33382947 34036782 42326882 43654623 44509638 55350538 63490323 66765894 83025807 87309246 96437549 126980646 166051614 189170033 192875098 289312647 359778497 378340066 567510099 578625294 719556994 779791403 1079335491 1135020198 1559582806 2158670982 2339374209 4678748418 10137288239 13256453851 20274576478 26512907702 30411864717 39769361553 60823729434 79538723106 172333900063 344667800126 517001700189 1034003400378